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@ericmjl
Created May 3, 2020 22:26
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from jax import numpy as np\n",
"import mcx\n",
"import mcx.distributions as dist\n",
"import jax\n",
"import numpy.random as npr\n",
"\n",
"# Always shape your data such that the first dimension is \"batch\" or \"sample\".\n",
"# This is a good convention to adhere to.\n",
"x_data = npr.normal(0, 5, size=1000).reshape(-1, 1)\n",
"\n",
"y_data = 3 * x_data + npr.normal(size=x_data.shape)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.collections.PathCollection at 0x12626cdf0>"
},
"metadata": {},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 380,
"height": 248
},
"needs_background": "light"
}
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"plt.scatter(x_data, y_data)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": "/Users/maer3/anaconda/envs/mcx/lib/python3.8/site-packages/jax/lib/xla_bridge.py:116: UserWarning: No GPU/TPU found, falling back to CPU.\n warnings.warn('No GPU/TPU found, falling back to CPU.')\n"
}
],
"source": [
"@mcx.model\n",
"def linear_regression(x, lmbda=1.):\n",
" scale @ dist.Exponential(lmbda)\n",
" ceoffs_init = np.ones(x.shape[-1])\n",
" coefs @ dist.Normal(ceoffs_init, 1.0)\n",
" y = np.dot(x, coefs)\n",
" predictions @ dist.Normal(y, scale)\n",
" return predictions"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "{'scale': array([0.8255638 , 2.0396779 , 1.0621591 , ..., 1.308207 , 0.59398156,\n 1.7124969 ], dtype=float32), 'coefs': array([0.56345546, 1.9021674 , 0.7439815 , ..., 0.9703183 , 0.41910455,\n 1.4351544 ], dtype=float32), 'y': array([[ 0.35440046, 0.8755989 , 0.45596677, ..., 0.56159097,\n 0.25498614, 0.7351457 ],\n [ 4.824477 , 11.919586 , 6.207106 , ..., 7.644975 ,\n 3.4711435 , 10.007587 ],\n [ 4.3801036 , 10.821695 , 5.635381 , ..., 6.940811 ,\n 3.151423 , 9.085808 ],\n ...,\n [ -9.307081 , -22.994526 , -11.974363 , ..., -14.748211 ,\n -6.6963143 , -19.306015 ],\n [ -0.28453308, -0.7029812 , -0.36607635, ..., -0.45087752,\n -0.20471755, -0.59021723],\n [ 0.28147662, 0.69542974, 0.36214396, ..., 0.44603422,\n 0.20251848, 0.58387715]], dtype=float32), 'predictions': array([[ 0.39863926, -2.656943 , 0.41187236, ..., -0.28623405,\n 0.3300656 , 1.0480239 ],\n [ 4.6770177 , 13.593124 , 6.952494 , ..., 8.874232 ,\n 2.9934614 , 9.566873 ],\n [ 4.488021 , 11.251829 , 5.260716 , ..., 4.709253 ,\n 3.3524892 , 11.1396055 ],\n ...,\n [ -9.8077135 , -23.561003 , -12.575795 , ..., -14.588383 ,\n -6.704223 , -16.627787 ],\n [ 0.7370915 , -1.2605559 , -0.52950215, ..., 0.38641694,\n 0.10533645, 0.39649072],\n [ 0.2342891 , -0.427174 , -0.13576329, ..., 0.48646122,\n 1.0140046 , -1.9645146 ]], dtype=float32)}\n"
}
],
"source": [
"rng_key = jax.random.PRNGKey(0)\n",
"\n",
"# Sample the model forward, conditioning on the value of `x`\n",
"samples = mcx.sample_forward(\n",
" rng_key,\n",
" linear_regression,\n",
" x=x_data,\n",
" num_samples=10_000\n",
")\n",
"\n",
"print(samples)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "Initialize the sampler\n\nFind initial states...\nWarmup the chains...\nCompile the log-likelihood...\nBuild and compile the inference kernel...\nCollecting 2,000 samples across 4 chains: 100%|██████████| 2000/2000 [00:02<00:00, 811.41samples/s]\n"
}
],
"source": [
"\n",
"# Sample from the posterior distribution using HMC\n",
"kernel = mcx.HMC(\n",
" step_size=0.01,\n",
" num_integration_steps=100,\n",
" mass_matrix_sqrt=np.array([1.1, 1.2]),\n",
" inverse_mass_matrix=np.array([1., 1.]),\n",
")\n",
"\n",
"observations = {'x': x_data, 'predictions': y_data}\n",
"sampler = mcx.sample(\n",
" rng_key,\n",
" linear_regression,\n",
" kernel,\n",
" **observations\n",
")\n",
"trace = sampler.run(num_samples=2000)\n"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x136545220>]"
},
"metadata": {},
"execution_count": 20
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 378,
"height": 248
},
"needs_background": "light"
}
}
],
"source": [
"plt.plot(trace['posterior']['coefs'][0, 500:])"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x13947d250>]"
},
"metadata": {},
"execution_count": 21
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 384,
"height": 248
},
"needs_background": "light"
}
}
],
"source": [
"plt.plot(trace['posterior']['coefs'][1, 500:])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x138e0f6a0>]"
},
"metadata": {},
"execution_count": 22
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 384,
"height": 248
},
"needs_background": "light"
}
}
],
"source": [
"plt.plot(trace['posterior']['coefs'][2, 500:])"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x1393743a0>]"
},
"metadata": {},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": 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\n"
},
"metadata": {
"image/png": {
"width": 378,
"height": 248
},
"needs_background": "light"
}
}
],
"source": [
"plt.plot(trace['posterior']['coefs'][3, 500:])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "mcx",
"language": "python",
"name": "mcx"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.2-final"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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